XII Physics

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PREFACE

In the ACs conference held in July, 2010 at KVS (HQ), New Delhi, issue of Study Material for Board classes was discussed at length and finally decided to provide it to students. Various Regional Offices were asked to prepare the study material in different subjects while the task of its correction and moderation was assigned to various ZIETs of KVS.

KVS, ZIET, Chandigarh received study material in the subjects of Physics, Chemistry, and Biology &Maths for XII, Maths and Science &Tech. for X class, from various Regional Offices. The study material was got reviewed and suitably modified by organising workshops of experienced and competent subject teachers with the co-operation and guidance of AC,KVS,RO,CHD. Corrected study material was sent to all regional offices for providing it to students and also uploaded on the Website WWW.zietchandigarh.org.

Subject teachers, both at the preparation and moderation levels have done a remarkable job by preparing a comprehensive study material of multiple utility .It has been carefully designed and prepared so as to promote better learning and encourage creativity in students through their increased self efforts for solving assignments of different difficulty level. But the teachers and the students must bear in mind that the purpose of the study material is in no way to replace the text-book, but to make it a complete set by supplementing it with this study material so that it may provide requisite and adequate material for use in different ways.

The study material can be effectively used in the following ways:

Practice material to supplement questions given in the textbook.

Material for Study Camps: The purpose of conducting study camps is to inculcate study habits amongst

students under active supervision of the teachers. These camps can beorganised within the normal school hours and days. Day wise target will be ascertained and given to the students and reviewed by the concerned subject teacher. If the target is not achieved by any student, it will be added to the next days target.

Master Cards: The teachers can help students prepare master cards by taking the important

questions/topics/points/concepts /reactions/terms etc from this study material for the quick revision for the examination.

Crash Revision Courses: The material can also be used for preparing handouts for conducting Crash Revision Courses under the supervised guidance of the teachers just before or in the gaps between papers during examination.

Effectiveness of the study material will ultimately depend upon its regular and judicious use for the above listed purposes both by teachers and students. While attempting the source material, it would be quite useful to mark every time a question done successfully with a tick out ( ) and a question not done successfully with a dot ( ). It can be later used as a source of feedback for error analysis and for effective subsequent revisions/remedial work etc. I am sure that this well prepared study material if used sincerely and judiciously will surely bring cheers to all sections of students.

I, also, take this opportunity to extend my most sincere gratitude to our Honble, Commissioner KVS (HQ), New Delhi, and other higher authorities of KVS for providing this opportunity for making some useful contribution to the study material.

I also extend my thanks to all the Assistant Commissioners of various Regions for their in-valuable contribution in preparation of the Study Material in various subjects.

Above all, sincere and dedicated efforts of the subject teachers in preparation of this study material deserve full appreciation. Teachers observations, suggestions and critical analysis for further improvement of the study material mailed to kvszietchd @gmail.com, will be highly appreciated.

With best wishes to all users of this STUDY MATERIAL.

(HAR GOPAL) Director KVS ZIET Chd

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UNIT 1 ELECTROSTATICSConceptsCharge conservation Coulombs law Superposition Principle Continuous charge distribution Electric field due to a point charge Electric field lines Electric Field due to an electric dipole Electric dipole in uniform electric field Electric flux Gauss Theorem Electric field due to long straight wire, charged infinite plane sheet and charged shell using Gauss Theorem Electric potential due to point charge Electric potential due to an electric dipole Equipotential surface Electric potential energy of system of two charges Electric potential energy of an electric dipole in external electric field Properties of conductors Principle of capacitor Capacitance of parallel plate capacitor Capacitance of parallel plate capacitor with Dielectric Combination of capacitors Energy stored in a capacitor Van De Graff Generator

Degree of importance* *** ** *

Reference from NCERTP-8 P-10 Ex1.4 P-13 P-15 Ex1.6 P-16 P-32

Levels of AssignmentL-1 L-2, L-3 L-1,L-3 L-1

Errors generally committed-ve and +ve sign to be taken care of. Wrong formula and wrong reasoning Application of concept not clear for numerical problems Wrong conceptualization of discrete charge and continuous charge

*** *** ***** **** ** *** *****

P-18 Ex1.8 P-21 P-23-24 P-27-28 Ex1.10 P-29 P-31 P-25-26 P-33-34 Ex1.11P-35 P-37-39 Ex1.12 P-36

L-1, L-2, L-1, L-2, L-3 L-2,L-3 L-2, L-3 L-1, L-2 L-2, L-3 L-2, Conceptualization problem Problem in understanding Gaussian surface concept Concept of charge density(linear and surface), relation of R and r in case of shell Application of the concept, reasoning questions Equipotential surface Wrong reasoning

***

**** **** *** ****

P-53-54 Ex2.2 P-58, Ex2.3 P59 P-55-56 P-60 P-65 Ex2.6 P-67 P-66

L-2, L-2

L-2, L-3 L-1, L-2, L-3 L-3 L-2, L-3

Stable and unstable equilibrium

** * *** ***

P-68-69 P-73 P-74 P-75 Ex2.8 P-77 P-78-79 Ex2.9 P-79 P-80-81 P-83-84

L-1, L-3 L-1 L-1, L-2,L-3 L-3

Explanation of concept

Concept of polarization and electrical susceptibility Application of concept for numerical Finding loss of energy

*** **** **

L-3 L-2, L-3 L-2, L-3

Unit I

ElectrostatisticsLEVEL 11. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. State the principle of quantization of electrical charges. What do you mean by relative permittivity? Write its relation in terms of force & electric field. Write its dimensions. Define electric field intensity. Write its expression due to a point charge and find its dimension. Draw electric field lines of an electric dipole. Write three properties of Electric field lines. Define electric dipole moment. What is its unit in SI system? Derive an expression for the torque acting on an electric dipole placed in a uniform electric field and hence find its potential energy. What do you mean by electric potential? Derive an expression for it due to a point charge. Explain three properties of equipotential surfaces. Define electric flux. How is it related to the charge enclosed? State Gausss theorem and using it derive the expression for electric field due to a uniformly charged spherical shell Write the principle of a capacitor & derive expression for energy stored in a capacitor. Explain the principal and construction of Van de Graff generator with the help of diagram.

LEVEL 21. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. Write two limitations of Coulombs law. What are the unit and dimensions of permittivity of free space? Calculate the electrostatic force between two - particles at a distance of 2x10 -5 m between them. Why do electric field lines never cross each other? Derive an expression for the electric field at a point on the equatorial line of an electric dipole. Does an electric dipole always experience a torque, when placed in uniform electric field? Support your answer with reason. How an electrostatic potential is related to the electric field at a point? No work is done in moving a test charge over an equipotential surface. Why? Derive an expression for the potential energy of an electric dipole in an external uniform electric field. What is meant by electrostatic shielding? Derive an expression for the capacitance of a parallel plate capacitor? On what factors does the capacitance of a parallel plate capacitor depend? Define dielectric constant in terms of the capacitance of a capacitor.

13.

14.

In a parallel plate capacitor, how is the capacity affected, when without changing the charge. a. The distance between the plates is doubled. b. Area of the plates is halved. Derive an expression for the energy stored in a parallel plate capacitor with air as the core material of the capacitor.

LEVEL 31. Two point charges of charge values Q and q are placed at a distance of x and x/2 respectively from a third charge of charge value 4q, all charges being in the same straight line. Calculate the magnitude and nature of charge Q, such that the net force experienced by the charge q is zero. The variation of electric fields of two systems with distance from each is shown in the graph. Identify nature of each system of charge.

2.

E 1 2

r

3.

4.

5. 6.

Draw Electric field lines for I. Charge q>0 II. q